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Finding the Fourth Proportional to 5,274.60, 7,911.90 and 2,965.80

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Solution

The fourth proportional to 5,274.60, 7,911.90 and 2,965.80 is: 4,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.60 : 7,911.90 = 2,965.80 : x
  2. Step 2: Convert to fraction form
    5,274.60/7,911.90 = 2,965.80/x
  3. Step 3: Cross multiply
    5,274.60x = 7,911.90 × 2,965.80
  4. Step 4: Simplify right side
    5,274.60x = 23,465,113.02
  5. Step 5: Solve for x
    x = 23,465,113.02/5,274.60
  6. Step 6: Final answer
    x = 4,448.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.